Minimal Axiomatization of Boolean Algebras

Eugene Zhang

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arXiv · 2304.02224

Minimal Axiomatization of Boolean Algebras

Eugene Zhang

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Abstract

In this paper, we present a new axiomatic system that is a minimal axiomatization of Boolean algebras. Furthermore, the symmetric difference is shown to be algebraically analogous to the modular difference of two numbers. Finally, a new method to prove equivalent relations in a Boolean algebra is also given.

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BibTeX RIS

Eugene Zhang. 2023-04-05. Minimal Axiomatization of Boolean Algebras. https://arxiv.org/abs/2304.02224

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